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Simplifying 8(w + -9) + -1(8 + -4w) = 11w Reorder the terms: 8(-9 + w) + -1(8 + -4w) = 11w (-9 * 8 + w * 8) + -1(8 + -4w) = 11w (-72 + 8w) + -1(8 + -4w) = 11w -72 + 8w + (8 * -1 + -4w * -1) = 11w -72 + 8w + (-8 + 4w) = 11w Reorder the terms: -72 + -8 + 8w + 4w = 11w Combine like terms: -72 + -8 = -80 -80 + 8w + 4w = 11w Combine like terms: 8w + 4w = 12w -80 + 12w = 11w Solving -80 + 12w = 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -80 + 12w + -11w = 11w + -11w Combine like terms: 12w + -11w = 1w -80 + 1w = 11w + -11w Combine like terms: 11w + -11w = 0 -80 + 1w = 0 Add '80' to each side of the equation. -80 + 80 + 1w = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 1w = 0 + 80 1w = 0 + 80 Combine like terms: 0 + 80 = 80 1w = 80 Divide each side by '1'. w = 80 Simplifying w = 80
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